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alukav5142 [94]
3 years ago
11

For each geometric sequence, write a recursive rupe by finding the common ratio by calculating the ratio of consecutive terms. W

rite an explicit rule for the sequence by writing each term as the product of the first term and a power of the common ratio.​

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

3

Step-by-step explanation:

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5+25+125+625+3125+15625 rewrite each series using sigma notation
Trava [24]
1. You have that the series is: <span>5+25+125+625+3125+15625
 2. You must find the ratio (r) between the adjacent members. Then, you have:

 25/5=5
 125/25=5
 625/125=5
 3125/625=5
 15625/3125=5

 3. Therefore, the ratio is:

 r=5

 4. Then, each term has te form 5</span>^k. <span>So, you have:

 5</span><span>^1=5
</span> 5<span>^2=25
</span> 5<span>^3=125
</span> 5<span>^4=625
</span> 5<span>^5=3125
</span> 5<span>^6=15625

 5. As you can see, "k" goes from 1 to 6.

 6. The answer is shown in the image attached.</span>

8 0
3 years ago
Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.
Black_prince [1.1K]

Answer: x = 12

Step-by-step explanation:

We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.

We know that:

cos(S) = adj cathetus/hipotenuse.

Then we have, for the triangle SRT.

Cos(S) = 9/SR.

for the big triangle, SQR, we have:

Cos(S) = SR/(9 + 16)

now we can find the quotient of those two equations and get:

cos(S)/cos(S) = 9/Sr*(9+16)/SR

SR^2 = 9*(25)

SR =  15.

Now with this side we can find the value of x.

We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:

9^2 + x^2 = 15^2

x = √(15^2  - 9^2) = 12

7 0
3 years ago
What is 5 out of 6 subtract 5out of 6
AleksandrR [38]
Your answer is -1.

5 - 6 + -1
4 0
3 years ago
An escalator in a department store is to carry people a vertical distance of 18 feet between floors. How long is the escalator i
melisa1 [442]
Drawing out the triangle, we get the one below. We can use the trigonometric ratio of tan to solve this problem.
tan40= \frac{18}{x}
x= \frac{18}{tan40}
x=21.5

:)

6 0
3 years ago
Which property explains why these expressions are equal?<br> 5(g + h) = 5g + 5h
zepelin [54]

Answer:

distributive

Step-by-step explanation:

4 0
3 years ago
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